Nestedsums library
Public Member Functions | Protected Member Functions | Protected Attributes | List of all members
transcendental_fct_type_A Class Reference

#include <transc_fct_A.h>

Inheritance diagram for transcendental_fct_type_A:

Public Member Functions

 transcendental_fct_type_A (const GiNaC::ex &xx, const GiNaC::ex &ii_num, const GiNaC::ex &ii_denom, const GiNaC::ex &pp_num, const GiNaC::ex &pp_denom)
 
 transcendental_fct_type_A (const GiNaC::ex &xx, const GiNaC::ex &ii_num, const GiNaC::ex &ii_denom, const GiNaC::ex &pp_num, const GiNaC::ex &pp_denom, const GiNaC::ex &eps, int o, int f)
 
void archive (GiNaC::archive_node &node) const override
 
void read_archive (const GiNaC::archive_node &node, GiNaC::lst &sym_lst) override
 
unsigned return_type (void) const override
 
void print (const GiNaC::print_context &c, unsigned level=0) const override
 
unsigned precedence (void) const override
 
GiNaC::ex eval () const override
 
GiNaC::ex subs (const GiNaC::exmap &m, unsigned options=0) const override
 
GiNaC::ex set_expansion (const GiNaC::ex &eps, int o) const
 

Protected Member Functions

GiNaC::ex eval_ncmul (const GiNaC::exvector &v) const override
 
GiNaC::ex derivative (const GiNaC::symbol &s) const override
 
unsigned calchash (void) const override
 

Protected Attributes

GiNaC::ex x
 
GiNaC::ex i_num
 
GiNaC::ex i_denom
 
GiNaC::ex pre_num
 
GiNaC::ex pre_denom
 
GiNaC::ex expansion_parameter
 
int order
 
int flag_expand_status
 

Detailed Description

The class transcendental_fct_type_A provides an interface to the class transcendental_sum_type_A. The definition is

\[ \frac{\Gamma(d_1) ... \Gamma(d_n)}{\Gamma(d_1') ... \Gamma(d_{n'}')} \sum\limits_{i=0}^\infty \frac{\Gamma(i+a_1) ... \Gamma(i+a_k)}{\Gamma(i+a_1') ... \Gamma(i+a_{k-1}')} \frac{x^i}{i!} \]

Member Function Documentation

◆ eval()

ex eval ( ) const
override

Evaluation: If flag_expand_status is set, the object is expanded in $\varepsilon$.

The result is converted to a standard form, using convert_Zsums_to_standard_form.

◆ eval_ncmul()

ex eval_ncmul ( const GiNaC::exvector & v) const
overrideprotected

No automatic simplifications

◆ set_expansion()

ex set_expansion ( const GiNaC::ex & eps,
int o ) const

Sets the flag flag_expand_status to expand_status::expansion_required. The object is then automatically expanded up to the specified order.

The documentation for this class was generated from the following files:
Generated by doxygen 1.12.0